159 citations · 219 across the 33 of their papers we have counts for
39 papers
Lascoux series, parking functions and noncrossing partitions
Alice L. L. Gao, Xin-Bei Liu, Arthur L. B. Yang +1
In the study of the generating series of Demazure characters, Lascoux used isobaric divided differences to define a family of polynomials indexed by permutations…
Induced log-concavity of equivariant matroid invariants
Alice L. L. Gao, Ethan Y. H. Li, Matthew H. Y. Xie +2
Inspired by the notion of equivariant log-concavity, we introduce the concept of induced log-concavity for a sequence of representations of a finite group. For an equivariant matro…
Revisiting Jacobi-Trudi identities via the BGG category
Tao Gui, Arthur L. B. Yang
By interpreting Kostka numbers as tensor product multiplicities in the BGG category O for the special linear Lie algebras, we provide a new proof of the classical Jacobi--Trudi ide…
A planar network proof for Hankel total positivity of type Narayana polynomials
Ethan Y. H. Li, Grace M. X. Li, Arthur L. B. Yang +1
The Hankel matrix of type B Narayana polynomials was proved to be totally positive by Wang and Zhu, and independently by Sokal. Pan and Zeng raised the problem of giving a planar n…
Immanant Positivity for Catalan-Stieltjes Matrices
Ethan Y. H. Li, Grace M. X. Li, Arthur L. B. Yang +1
In this paper we give some sufficient conditions for the nonnegativity of immanants of square submatrices of Catalan-Stieltjes matrices and their corresponding Hankel matrices. To…
The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids
Alice L. L. Gao, Matthew H. Y. Xie, Arthur L. B. Yang
Motivated by the concepts of the inverse Kazhdan-Lusztig polynomial and the equivariant Kazhdan-Lusztig polynomial, Proudfoot defined the equivariant inverse Kazhdan-Lusztig polyno…